Search a number
-
+
115376857615044 = 2232832215692
BaseRepresentation
bin11010001110111101000100…
…100111010000101011000100
3120010111220211120202022111100
4122032331010213100223010
5110110313301022140134
61045215221402540100
733205463042250654
oct3216750447205304
9503456746668440
10115376857615044
1133843061289773
1210b34984207630
134c4bcb6280b3c
14206c3ac0d6364
15d5133bc94999
hex68ef449d0ac4

115376857615044 has 81 divisors (see below), whose sum is σ = 295216898982733. Its totient is φ = 37993830081024.

The previous prime is 115376857615021. The next prime is 115376857615093. The reversal of 115376857615044 is 440516758673511.

The square root of 115376857615044 is 10741362.

It is a perfect power (a square), and thus also a powerful number.

115376857615044 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 7 + 6 + 8 + 5 + 7 + 615 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3071123061444 + 112305734553600 = 1752462^2 + 10597440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5349187492 + ... + 5349209060.

Almost surely, 2115376857615044 is an apocalyptic number.

115376857615044 is the 10741362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115376857615044

115376857615044 is an abundant number, since it is smaller than the sum of its proper divisors (179840041367689).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115376857615044 is an frugal number, since it uses more digits than its factorization.

115376857615044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43314 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 115376857615044 in words is "one hundred fifteen trillion, three hundred seventy-six billion, eight hundred fifty-seven million, six hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 6889 13778 20667 21569 27556 41334 43138 62001 64707 82668 86276 124002 129414 194121 248004 258828 388242 776484 1790227 3580454 5370681 7160908 10741362 16112043 21482724 32224086 64448172 148588841 297177682 445766523 465221761 594355364 891533046 930443522 1337299569 1395665283 1783066092 1860887044 2674599138 2791330566 4186995849 5349198276 5582661132 8373991698 16747983396 38613406163 77226812326 115840218489 154453624652 231680436978 347520655467 463360873956 695041310934 1390082621868 3204912711529 6409825423058 9614738134587 12819650846116 19229476269174 28844214403761 38458952538348 57688428807522 115376857615044